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SSRN Electronic Journal
Article . 2011 . Peer-reviewed
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Envelope Theorems in Banach Lattices

Authors: Marzia De Donno; Anna Battauz; Fulvio Ortu;

Envelope Theorems in Banach Lattices

Abstract

We derive envelope theorems for optimization problems in which the value function takes values in a general Banach lattice, and not necessarily in the real line both for the concave and non concave-case. We impose no restriction whatsoever on the choice set. Our result extend therefore the ones of Benveniste and Scheinkman (1979) and Milgrom and Segal (2002). We apply our results to discuss the existence of a wellde…ned notion of marginal utility of wealth in optimal consumption-portfolio problems in which the utility from consumption is additive but possibly state-dependent and, most importantly, no assumptions are made on the the information structure. In this general setting, the value function is itself a random variable and, if integrable, takes values in a Banach lattice so that our general results can be applied. JEL classi…cation: C60, G12.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze